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Finding the Fourth Proportional to 252.51, 348.41 and 141.94

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Solution

The fourth proportional to 252.51, 348.41 and 141.94 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.51 : 348.41 = 141.94 : x
  2. Step 2: Convert to fraction form
    252.51/348.41 = 141.94/x
  3. Step 3: Cross multiply
    252.51x = 348.41 × 141.94
  4. Step 4: Simplify right side
    252.51x = 49,454.11
  5. Step 5: Solve for x
    x = 49,454.11/252.51
  6. Step 6: Final answer
    x = 195.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.